Daily Practice

Higher

15th July 1978

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x - 4)(x - 5).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 10 in B only, 11 in both and 9 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 3, lower quartile 8, median 14, upper quartile 16 and maximum 26. Work out the interquartile range.

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